Consider the function f[x) 3x“ on the interval 7. Find the average or mean slope of the function on this interval, i.e. S(7) - f(- 1) 7( 1) By the Mean Value Theorem, we know there exists a e in the open interval (- 1, 7) such that f'(c) is equal to this mean slope. For this problem, there is only one c that works. Find it.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Consider the function f()
33-3x on the interval - 1, 7. Find the average or mean slope of the
function on this interval, i.e.
/(7) - f(- 1)
7-(- 1)
By the Mean Value Theorem, we know there exists a c in the open interval (-1, 7) such that f'(c) is
equal to this mean slope. For this problem, there is only one c that works, Find it.
Transcribed Image Text:Consider the function f() 33-3x on the interval - 1, 7. Find the average or mean slope of the function on this interval, i.e. /(7) - f(- 1) 7-(- 1) By the Mean Value Theorem, we know there exists a c in the open interval (-1, 7) such that f'(c) is equal to this mean slope. For this problem, there is only one c that works, Find it.
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